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Finding the Fourth Proportional to 143.40, 197.88 and 81.24

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Solution

The fourth proportional to 143.40, 197.88 and 81.24 is: 112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.40 : 197.88 = 81.24 : x
  2. Step 2: Convert to fraction form
    143.40/197.88 = 81.24/x
  3. Step 3: Cross multiply
    143.40x = 197.88 × 81.24
  4. Step 4: Simplify right side
    143.40x = 16,075.77
  5. Step 5: Solve for x
    x = 16,075.77/143.40
  6. Step 6: Final answer
    x = 112.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.